Taylor's is a popular restaurant that offers customers a large dining room and comfortable bar area. Taylor Henry, the

owner and mansger of the restaurant, has seen the number of patrons increase steadly over the last two years and is

considering whether and when she will have to expand its available capacity. The restaurant occupies a large home, and

all the spoce in the building is now used for dining, the bar, and kitchen, but space is awallable on the property to expand

the restaurant. The restaurant is open from $6$ p$.$m$.$ to $10$ p$.$m$.$ each night $($exsept Monday$)$ and, on average, has $26$

customers enter the bar and $47$ enter the dining room at the beginning of each of those hours. Taylar has naticed the

trends over the last $2$ years and expects that within about $4$ years, the number of bar customers will increase by $50\%$ and

the dining customers will increase by $20\%.$ Taylor is worried that the restaurant will be abie to handie the increase

and has asked you to study its capacity. In your study, you consider four areas of capacity: the parking lat $($which has $77$

spaces$),$ the bar $(54$ seats$),$ the dining room $(97$ seats$),$ and the kitchen. The kitchen is wel$-$staffed and can prepare any

meal on the menu in an

preparation at a time, or $100$ meals per hour $160$ minute$//2$ minute $\times 20$ meals$).$ To assess the capacity of the restaurant,

you obtain the additional information:

Diners typically come to the restaurant by car, with an awerage of $3$ persons per car, while bar patrons arrive with an

average of $1\mathrm{.}5$ persons per car.

Diners, on average, occupy a table for an hour, while bar customers usually stay for an average of $2$ hours.

Due to fire requlations, all bar customers must be seated

The bar customer typically orders one drink per hour at an average of $$9$ per drink the dining roam customer orders a

meal with an average price of $$2\mathrm{????}$ t the restaurant's cost per drink is $$2,$ and the direct costs for meal preparation are $$4.$

Required:

$1-$A$.$ Given the current number of customers per hour, what is the amount of excess capacity in the bes, dining room, parking lot, and

etchen?

$1-$b$.$ Calculate the expected total throughput margin for the restaurant per day, and month $($assuming a $26-$day month$).$

$2-$a$.$ Given the expected increase in the number of customers, determine if there is a constraint for any of the four areas of capacity

What is the amount of needed capacity for each constraint?

$2-$b$.$ If there is a constraint, reduce the demand on the constraint so that the restaurant is at full capacty lassume some customers

would have to be tumed away. Calculate the expected total throughput margin for the restaurant per day, and month $($assuming a $26$

day monthy